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Finding the Fourth Proportional to 419,903,999.60, 629,855,999.40 and 256,645,324.40

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Solution

The fourth proportional to 419,903,999.60, 629,855,999.40 and 256,645,324.40 is: 384,967,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,903,999.60 : 629,855,999.40 = 256,645,324.40 : x
  2. Step 2: Convert to fraction form
    419,903,999.60/629,855,999.40 = 256,645,324.40/x
  3. Step 3: Cross multiply
    419,903,999.60x = 629,855,999.40 × 256,645,324.40
  4. Step 4: Simplify right side
    419,903,999.60x = 161,649,597,291,299,200
  5. Step 5: Solve for x
    x = 161,649,597,291,299,200/419,903,999.60
  6. Step 6: Final answer
    x = 384,967,986.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.